(7(20) 1/3^{1/3}-1) 1/3^{1/3}

asked by guest
on Nov 20, 2024 at 12:42 am



You asked:

Evaluate the expression: (7⋅2013−1)13{\left( 7 \cdot {20}^{\frac{1}{3}} - 1 \right)}^{\frac{1}{3}}

MathBot Answer:

(7⋅2013−1)13=−1+7⋅2033≈2.62078620405183481170580181196641{\left( 7 \cdot {20}^{\frac{1}{3}} - 1 \right)}^{\frac{1}{3}} = \sqrt[3]{-1 + 7 \cdot \sqrt[3]{20}} \approx 2.62078620405183481170580181196641

(7⋅2013−1)13=7⋅203−13=−1+7⋅2033\begin{aligned}{\left( 7 \cdot {20}^{\frac{1}{3}} - 1 \right)}^{\frac{1}{3}}&=\sqrt[3]{7 \cdot \sqrt[3]{20} - 1}\\&=\sqrt[3]{-1 + 7 \cdot \sqrt[3]{20}}\end{aligned}

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